{"id":152816,"date":"2026-01-12T16:43:17","date_gmt":"2026-01-12T16:43:17","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/diferenciacion-generalizada\/"},"modified":"2026-01-12T16:43:17","modified_gmt":"2026-01-12T16:43:17","slug":"diferenciacion-generalizada","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/diferenciacion-generalizada\/","title":{"rendered":"\u00abdiferenciacion generalizada\u00bb"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Vicente Novo Sanjurjo <\/strong><\/h2>\n<p>Con objeto de obtener tecnicas matematicas de optimizacion de funciones no diferenciables, se introduce una nueva version de derivada generalizada, primero para funciones reales de variable real y luego para funciones vectoriales de variable vectorial en espacios de dimension finita. Se extiende esta definicion al caso de funcionales reales definidos sobre un espacio normado. Se desarrolla asi una teoria de diferenciacion generalizada con las siguientes propiedades: verifica el axioma de coherencia de penot, se pueden dar derivadas de orden superior al primero, esta derivada generalizada se reduce a la de rochafellar para funciones convexas, esta contenida en la de clarke para funciones localmente lipschitzianas, existe para una clase mas amplia de funciones que la utilizada por clarke y se mantienen los principales resultados de la teoria de clarke. Se dan versiones generalizadas de los grandes teoremas del calculo diferencial y se estudian sus aplicaciones al estudio de extremos relativos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>\u00abdiferenciacion generalizada\u00bb<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 \u00abdiferenciacion generalizada\u00bb <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Vicente Novo Sanjurjo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Nacional de educaci\u00f3n a distancia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1990<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Luis Marino Santana Rodriguez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Ricardo Velez Ibarrola <\/li>\n<li>Jes\u00fas Fernandez Novoa (vocal)<\/li>\n<li> Sanchez Ma\u00f1es Eva Mar\u00eda (vocal)<\/li>\n<li> Sanchez Sanchez Juan  Miguel (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Vicente Novo Sanjurjo Con objeto de obtener tecnicas matematicas de optimizacion de funciones no diferenciables, se introduce [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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